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Answer:
To solve this problem for the height h, we first need the formula for the volume V of a rectangular solid (box):
Volume V = lwh, where l is the length, w is the width, and h is the height of the rectangular solid.
We are given that the volume V = 650 cm³, length l = 10 cm, and width w = 5 cm.
Now, to solve for the height h of the rectangular solid, we simply substitute the given information into the formula for volume V and then perform the necessary calculations and algebraic simplifications as follows:
V = lwh
650 cm³ = (10 cm)(5 cm)(h)
650 cm³ = (50 cm²)(h)
650 cm³/50 cm² = [(50 cm²)(h)]/(50 cm²)
13 cm = h
Height h = 13 cm
Check:
V = lwh
650 cm³ = (10 cm)(5 cm)(13 cm)
650 cm³ = 650 cm³